Question

what is sin 60°?
a. $\frac{1}{sqrt{2}}$
b. $sqrt{3}$
c. 1
d. $\frac{1}{2}$
e. $\frac{1}{sqrt{3}}$
f. $\frac{sqrt{3}}{2}$

Explanation:

Step1: Recall sine - definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify opposite and hypotenuse for 60°

For the 60° angle in the given right - triangle, the opposite side has length $\sqrt{3}$ and the hypotenuse has length 2. So, $\sin60^{\circ}=\frac{\sqrt{3}}{2}$.

Answer:

F. $\frac{\sqrt{3}}{2}$